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Finding the Fourth Proportional to 289,069.02, 433,042.47 and 213,029.46

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Solution

The fourth proportional to 289,069.02, 433,042.47 and 213,029.46 is: 319,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,069.02 : 433,042.47 = 213,029.46 : x
  2. Step 2: Convert to fraction form
    289,069.02/433,042.47 = 213,029.46/x
  3. Step 3: Cross multiply
    289,069.02x = 433,042.47 × 213,029.46
  4. Step 4: Simplify right side
    289,069.02x = 92,250,803,541.17
  5. Step 5: Solve for x
    x = 92,250,803,541.17/289,069.02
  6. Step 6: Final answer
    x = 319,130.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.